Given numbers are 345,503,146,723

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 345,503,146,723 is 6106002510.

Find LCM of 345,503,146,723 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

3 x 115 x 503 x 146 x 241 = 6106002510

Therefore, the lowest common multiple of 345,503,146,723 is 6106002510.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

345 x 503 x 146 x 723 = 18318007530

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

345 : 1, 3, 5, 15, 23, 69, 115, 345

503 : 1, 503

146 : 1, 2, 73, 146

723 : 1, 3, 241, 723

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 345,503,146,723, is 1.

Now, the common factors can be found like this.

345:3x 5x 23

503:503

146:2x 73

723:3x 241

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3 = 3

Therefore, the value for common factors is 3.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 18318007530/(1x3)

LCM = 18318007530/3

LCM = 6106002510

Thus, we can understand that the LCM of 345,503,146,723 is 6106002510.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 763, 300, 574, 688
• LCM of 151, 630, 714, 481
• LCM of 540, 536, 986, 162
• LCM of 886, 726, 189, 908
• LCM of 126, 504, 609, 180

1. What is the LCM of 345, 503, 146, 723?

Answer: LCM of 345, 503, 146, 723 is 6106002510.

2. How to calculate the LCM of 345, 503, 146, 723?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 345, 503, 146, 723.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.